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Finding the Fourth Proportional to 299,032.54, 412,674.86 and 163,073.93

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Solution

The fourth proportional to 299,032.54, 412,674.86 and 163,073.93 is: 225,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,032.54 : 412,674.86 = 163,073.93 : x
  2. Step 2: Convert to fraction form
    299,032.54/412,674.86 = 163,073.93/x
  3. Step 3: Cross multiply
    299,032.54x = 412,674.86 × 163,073.93
  4. Step 4: Simplify right side
    299,032.54x = 67,296,509,576.71
  5. Step 5: Solve for x
    x = 67,296,509,576.71/299,032.54
  6. Step 6: Final answer
    x = 225,047.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.